Research
I am currently working under the mentorship of Dr. David P. Herzog. We study the asymptotic stability of nonlinear stochastic dynamics. Our most recent pre-print establishes explicit rates of convergence for Langevin dynamics subject to singular potentials in a weighted norm. More recently, we are focusing on the asymptotic behavior of degenerately stochastically forced Lorenz 96 systems.
My mathematical research and interests lie in:
Stochastic Processes
Chaos Theory and Nonlinear Dynamics
Functional Analysis
Partial Differential Equations
Quantum Mechanics
Mathematical Chemistry
A recent presentation of our Langevin dynamics results.

Research with Undergraduates
I was privileged enough to participate in mathematics research as an undergraduate at Concordia College, as well as through an NSF-funded research program at New York University. These experiences were invaluable to my future career as a mathematician, and I try to participate in leading undergraduate research whenever possible. The list of program topics I have led with undergraduates includes:
Fractals and iterated function systems
Sampling and interpolation theory
Markov chains and mixing times
Models for turbulent flow
Semigroup theory
Fractional operator theory
Selected Publications:
Weighted L2-contractivity of Langevin dynamics with singular potentials
Sampling and interpolation of cumulative distribution functions of Cantor sets in [0, 1]
Stability of the Kaczmarz reconstruction for stationary sequences
On the nature of the conformable derivative and its applications to physics
A tractable numerical model for exploring nonadiabatic quantum dynamics
Links to my research profiles: